Answer:

Step-by-step explanation:
when adding logs, apply the log rule: 
∴ 
when subtracting logs, apply the log rule: 

Division is repeated subtraction, just like multiplication is repeated addition. If you divide 50 by 10, you get 5. This is also the question: How many times do you have to subtract 10 from 50 to get 0?
Answer:
<h3>
∠XYZ = 102</h3><h3>
</h3>
Step-by-step explanation:
<u>1st step is to solve x from ΔWXY</u>
∠W + ∠X + ∠Y = 180
where ∠W = 5x + 2
∠X = 7x + 4
∠Y = 180 - (15x - 18)
= 198 - 15x
now plugin values into the equation:
5x + 2 + 7x + 4 + 198 - 15x = 180
combine similar terms:
5x + 7x - 15x = 180 - 2 - 4 - 198
simplify:
-3x = -24
x = -24 / -3
x = 8
<u>2nd step is to substitute x = 8 into ∠XYZ</u>
∠XYZ = 15x - 18
∠XYZ = 15(8) - 18
∠XYZ = 102
Answer:
m = 0
Step-by-step explanation:
<u>If two lines are parallel, their slopes are equal. </u>
The slope of x - axis is 0
(why?)
because, slope of a line is given by

Θ is the angle made by the line with the x- axis.
Here, the line in question is the x- axis itself, and every line makes an angle of 0° with itself.
=> Θ = 0
=> tan Θ = 0
=> slope = 0
and the line in blue is parallel to the X- axis, therefore, it's slope is also 0
(also, a line makes an angle of 0° with the line it's parallel to)
<u> </u>
